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Finding the Fourth Proportional to 21,454.88, 32,184.54 and 5,872.50

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Solution

The fourth proportional to 21,454.88, 32,184.54 and 5,872.50 is: 8,809.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,454.88 : 32,184.54 = 5,872.50 : x
  2. Step 2: Convert to fraction form
    21,454.88/32,184.54 = 5,872.50/x
  3. Step 3: Cross multiply
    21,454.88x = 32,184.54 × 5,872.50
  4. Step 4: Simplify right side
    21,454.88x = 189,003,711.15
  5. Step 5: Solve for x
    x = 189,003,711.15/21,454.88
  6. Step 6: Final answer
    x = 8,809.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.